Pole Placement via Output Feedback: A Methodology based in Projections

Authors:	Yang Kaiyang, Australian National University, Australia Orsi Robert, Australian National University, Australia
Topic:	2.1 Control Design
Session:	LMI Methods in Stabilization and Control
Keywords:	static output feedback, pole placement, stabilization, alternating projections.

Abstract

This paper presents an algorithm for solving static output feedback pole placement problems of the following rather general form: given n subsets of the complex plane, and a static output feedback that places in each of these subsets a pole of the closed loop system. The algorithm presented is iterative in nature and is based on alternating projection ideas. Each iteration of the algorithm involves a Schur matrix decomposition, a standard least squares problem and a combinatorial least squares problem. Computational results are presented demonstrating the effectiveness of the algorithm.